Answer this above question
Answers
Perimeter of square = 4 * a
= 4 * 60 = 240m
Perimeter of rectangle = 2l +2b
= 2*80 +2b
= 160+2b m
As perimeter of rectangle = perimeter of square,
240 = 160+2b
b = 40m
Area of square = a² = 3600 m²
Area of rectangle = l * b = 80*40 = 3200m²
Hence, the area of the square field has the larger area.
Answer---->Area of square field is greater.
Given-----> Side of square field is 60m and length of rectangular field is 80m and perimeter of both fields are same .
To find -----> Which field has a large area .
Solution----> We know that,
Perimeter of rectangle = 2 ( length + breadth )
Perimeter of square = ( Side )²
Let breadth of rectangular field be b .
Now , perimeter of rectangular field = 2 ( l + b )
= 2 ( 80 + b )
Perimeter of square = 4 ( side )
= 4 ( 60 )
= 240 m
ATQ,
Perimeter of rectangular field = perimeter of square
=> 2 ( 80 + b ) = 240
=> 80 + b = 240 / 2
=> 80 + b = 120
=> b = 120 - 80
=> b = 40 m
We know that ,
Area of square = ( Side )²
Area of rectangula = l × b
Area of rectangular field = l × b
= 80 × 40
= 3200 m²
Area of square field = ( Side )²
= ( 60 )²
= 3600 m²
Clearly area of square field is greater than area of rectangular field .